Find the Orthogonal Trajectories of the Family of Curves $$y = k x ^ { 9 }$$

question 51

Multiple Choice

Find the orthogonal trajectories of the family of curves.
$$y = k x ^ { 9 }$$

• A) \(x ^ { 2 } - 8 y ^ { 2 } = 0\)
• B) \(x ^ { 2 } - 8 y ^ { 2 } = C\)
• C) \(x ^ { 2 } - 8 y ^ { 2 } = 0\).
• D) \(x ^ { 2 } + 8 y ^ { 2 } = 0\).
• E) \(x ^ { 2 } + 9 y ^ { 2 } = C\).

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